Cohomology of \(\mathfrak{sl}_3\) and \(\mathfrak{gl}_3\) with coefficients in simple modules and Weyl modules in positive characteristics
From MaRDI portal
Publication:2134571
DOI10.3842/SIGMA.2022.026zbMath1492.17011arXiv2203.16142OpenAlexW4221038625MaRDI QIDQ2134571
Publication date: 3 May 2022
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.16142
Representation theory for linear algebraic groups (20G05) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cohomology of induced representations for algebraic groups
- Cohomology groups of reduced enveloping algebras
- Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix
- Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix
- Abelian extensions of modular Lie algebras
- Homomorphisms between Verma modules in characteristic p
- The second Lie algebra cohomology group and Weyl modules
- On the modular representations of the general linear and symmetric groups
- Rational and generic cohomology
- Nonsplit extensions of modular Lie algebras of rank 2
- Cohomology for the Lie algebra of type \(A_2\) over a field of characteristic 2
- ON THE COHOMOLOGY OF MODULAR LIE ALGEBRAS
- Modular Representation Theory of Lie Algebras
- On cohomology of a class of nonclassical restricted simple Lie algebras
- Deformations of classical Lie algebras with homogeneous root system in characteristic two. I
- A DUALITY THEOREM FOR THE COHOMOLOGY OF LIE ALGEBRAS
- Restricted representations of classical Lie algebras of types 𝐴₂ and 𝐵₂
- Cohomology Theory of Lie Groups and Lie Algebras
- Cohomology of Restricted Lie Algebras